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Finding the Fourth Proportional to 15,769.48, 23,654.22 and 7,450.34

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Solution

The fourth proportional to 15,769.48, 23,654.22 and 7,450.34 is: 11,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.48 : 23,654.22 = 7,450.34 : x
  2. Step 2: Convert to fraction form
    15,769.48/23,654.22 = 7,450.34/x
  3. Step 3: Cross multiply
    15,769.48x = 23,654.22 × 7,450.34
  4. Step 4: Simplify right side
    15,769.48x = 176,231,920.26
  5. Step 5: Solve for x
    x = 176,231,920.26/15,769.48
  6. Step 6: Final answer
    x = 11,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.